Abstract: The paper is about formalization of Set Theory and Elementary Algebra theorems in mathematics and their proofs in a new programming language called LEAN 4 Theorem Prover. The paper describes ...

SHANGHAI/BEIJING – As artificial intelligence increasingly outperforms humans in routine cognitive tasks, a foundational assumption of modern schooling is being called into question: that all students ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

You’ve locked in on your weight loss goals, consistently cut back on calories, and made time for daily workouts. Yet after initially losing a couple of pounds, you just can’t get that number on the ...

Get set theory explained in a clear and complete way, covering everything you need to know from basic definitions to key operations and ideas. This video walks through sets, subsets, unions, ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...

"We have demonstrated that it is impossible to describe all aspects of physical reality using a computational theory of quantum gravity," says Dr. Faizal. "Therefore, no physically complete and ...

Russell has a PhD in the history of medicine, violence, and colonialism. His research has explored topics including ethics, science governance, and medical involvement in violent contexts. Russell has ...

Add Futurism (opens in a new tab) More information Adding us as a Preferred Source in Google by using this link indicates that you would like to see more of our content in Google News results. As the ...

The original version of this story appeared in Quanta Magazine. At the turn of the 20th century, the renowned mathematician David Hilbert had a grand ambition to bring a more rigorous, mathematical ...